Algebra II (Missouri Learning Standards)

Number and Quantity (NQ), cluster A

• A2.NQ.A.1 Extend powers and roots to rational exponents.
• A2.NQ.A.2 Write and recognize equivalent radical and exponential forms.
• A2.NQ.A.3 Add, subtract, multiply, and divide radical expressions.
• A2.NQ.A.4 Solve equations with rational exponents or radicals and spot extraneous solutions.

Number and Quantity (NQ), cluster B

• A2.NQ.B.5 Represent complex numbers.
• A2.NQ.B.6 Add, subtract, multiply, and divide complex numbers.
• A2.NQ.B.7 Know and use the Fundamental Theorem of Algebra.

Seeing Structure in Expressions (SSE), cluster A

• A2.SSE.A.1 Build the definition of logarithms from properties of exponents.
• A2.SSE.A.2 Use the inverse link between exponents and logarithms to solve equations.
• A2.SSE.A.3 Use log properties to solve equations or rewrite expressions.
• A2.SSE.A.4 Understand why logarithmic scales are used and solve problems with them.

Reasoning with Equations and Inequalities (REI), cluster A

• A2.REI.A.1 Write and solve equations and inequalities, including absolute value.
• A2.REI.A.2 Solve rational equations with polynomial parts and spot extraneous solutions.

Reasoning with Equations and Inequalities (REI), cluster B

• A2.REI.B.3 Write and solve systems that may include nonlinear equations and inequalities.

Arithmetic with Polynomials and Rational Expressions (APR), cluster A

• A2.APR.A.1 Extend factoring to factors with complex coefficients.
• A2.APR.A.2 Understand and use the Remainder Theorem.
• A2.APR.A.3 Find the least common multiple of polynomials.
• A2.APR.A.4 Add, subtract, multiply, and divide rational expressions.
• A2.APR.A.5 Find zeros of factorable polynomials and use them to sketch the graph.

Interpreting Functions (IF), cluster A

• A2.IF.A.1 Identify and interpret key features of functions from graphs, tables, and equations to solve problems.
• A2.IF.A.2 Move between equivalent forms of functions.

Building Functions (BF), cluster A

• A2.BF.A.1 Build new functions with arithmetic operations and composition, adjusting domain and range.
• A2.BF.A.2 Find inverse functions and show by composition that they undo each other.
• A2.BF.A.3 Describe translations, reflections, and stretches of many function families algebraically and graphically.

Modeling (FM), cluster A

• A2.FM.A.1 Build quadratic and exponential models to solve applied problems.

Data and Statistical Analysis (DS), cluster A

• A2.DS.A.1 Analyze how random sampling supports inferences about population parameters.
• A2.DS.A.2 Decide whether a model fits a data set.
• A2.DS.A.3 Explain the purposes and differences of surveys, experiments, and observational studies, and the role of randomization.
• A2.DS.A.4 Estimate population features from a sample and understand margin of error.
• A2.DS.A.5 Explain how sample and population sizes affect the margin of error.
• A2.DS.A.6 Analyze decisions and strategies with probability.
• A2.DS.A.7 Evaluate reports based on data.

Data and Statistical Analysis (DS), cluster B

• A2.DS.B.8 Use features of normal distributions to predict the share of data beyond whole numbers of standard deviations.
• A2.DS.B.9 Use mean and standard deviation to judge whether data are roughly normal.